TY  - BOOK
AU  - Blaom,Anthony D.
TI  - A geometric setting for Hamiltonian perturbation theory
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470403201 (online)
AV  - QA3QA871 .A57 no. 727
U1  - 510 s515/.35 21
PY  - 2001///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Perturbation (Mathematics)
KW  - Hamiltonian systems
N1  - "September 2001, volume 153, number 727 (third of 5 numbers)."; Includes bibliographical references (p. 110-112); Introduction; Part 1. Dynamics; 1. Lie-theoretic preliminaries; 2. Action-group coordinates; 3. On the existence of action-group coordinates; 4. Naive averaging; 5. An abstract formulation of Nekhoroshev's theorem; 6. Applying the abstract Nekhoroshev theorem to action-group coordinates; 7. Nekhoroshev-type estimates for momentum maps; Part 2. Geometry; 8. On Hamiltonian $G$-spaces with regular momenta; 9. Action-group coordinates as a symplectic cross-section; 10. Constructing action-group coordinates; 11. The axisymmetric Euler-Poinsot rigid body; 12. Passing from dynamic integrability to geometric integrability; 13. Concluding remarks; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0727
UR  - http://dx.doi.org/10.1090/memo/0727
ER  -